Multiplicity distributions of the charged particles at the maximum of electromagnetic showers initiated by 5-1000 GeV electrons in Fe, W and Pb

TL;DR

This study uses GEANT4 simulations to analyze charged particle multiplicity distributions at the shower maximum for high-energy electrons in Fe, W, and Pb, revealing a consistent power-law energy dependence across materials.

Contribution

It provides a detailed modeling of multiplicity distributions and their energy dependence in electromagnetic showers across different materials using GEANT4 simulations.

Findings

Multiplicity distributions fit well with inverse sum of two exponentials.

Average multiplicity follows a power law with exponent ~0.95.

Results are consistent across Fe, W, and Pb materials.

Abstract

Charged particles multiplicity distributions at the maximum of electromagnetic showers initiated by 5 to 1000 GeV electrons in Fe, W, and Pb were calculated using GEANT4. It is shown that they are reasonably well fitted by the inverse sum of two exponents and the energy dependence of the average multiplicity follows power law with the power of ~0.95 for all studied materials.